Finitely presented groups which are not residually amenable What are examples of finitely presented  but not residually amenable groups?
Well, the examples that I want to have are simple f.p. groups as well as examples of non residually amenable groups arise from other reasoning then simplicity.
Thank you for all your references!
 A: Let $G$ be an adjoint Kac-Moody group over a (sufficiently large) finite field $\mathbf F_q$. By results of Caprace-R'emy, $G$ is simple when its diagram is connected and has indefinite type, i.e. neither spherical nor affine, and finitely presented when the diagram does not contain an edge labelled with $\infty$. In this case, $G$ itself is not amenable as it contains the free product of two root groups $U_\alpha * U_\beta$. 
Varying the ground field and the diagram then gives a two-parameter family of examples.
A: Take any finitely presented infinite simple group $G$.  It is not residually anything (well, it is residually $G$).
Now take such a $G$ that contains a nonabelian free group.  For example, take Elizabeth Scott's finitely presented group $G$ that contains $GL_3(\mathbb{Z})$. (See Scott, Elizabeth A.
The embedding of certain linear and abelian groups in finitely presented simple groups. 
J. Algebra 90 (1984), no. 2, 323–332.) 
A: Cornulier has a finitely presented sofic group which is not the limit of amenable groups:
http://arxiv.org/pdf/0906.3374
